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Simplifying -39 + v = -4(v + 1) Reorder the terms: -39 + v = -4(1 + v) -39 + v = (1 * -4 + v * -4) -39 + v = (-4 + -4v) Solving -39 + v = -4 + -4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '4v' to each side of the equation. -39 + v + 4v = -4 + -4v + 4v Combine like terms: v + 4v = 5v -39 + 5v = -4 + -4v + 4v Combine like terms: -4v + 4v = 0 -39 + 5v = -4 + 0 -39 + 5v = -4 Add '39' to each side of the equation. -39 + 39 + 5v = -4 + 39 Combine like terms: -39 + 39 = 0 0 + 5v = -4 + 39 5v = -4 + 39 Combine like terms: -4 + 39 = 35 5v = 35 Divide each side by '5'. v = 7 Simplifying v = 7
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